Differential Equations

Catalog description

In this course, students study first order differential equations, including but not limited to separable, linear, exact, and Bernoulli. Next, students solve higher order linear homogeneous and non-homogeneous differential equations. Students also solve systems of differential equations, using Laplace transform and matrix methods. Students then apply these equations to problems of motion, vibration, mixture, population, and others. Students apply several types of solution techniques, including various analytical methods, Laplace transform, and numerical methods. Students use various types of mathematical software to visualize and analyze solutions of differential equations and systems of equations and assess numerical methods' accuracy and computational efficiency. Additionally, students explore solutions and phase portraits using mathematical software to analyze nonlinear systems and phenomena.